Recent probabilistic results on covariant Schr\"odinger operators on infinite weighted graphs
Mathematical Physics
2014-05-06 v2 Differential Geometry
math.MP
Probability
Spectral Theory
Abstract
We review recent probabilistic results on covariant Schr\"odinger operators on vector bundles over (possibly locally infinite) weighted graphs, and explain applications like semiclassical limits. We also clarify the relationship between these results and their formal analogues on smooth (possibly noncompact) Riemannian manifolds.
Keywords
Cite
@article{arxiv.1405.0427,
title = {Recent probabilistic results on covariant Schr\"odinger operators on infinite weighted graphs},
author = {Batu Güneysu and Ognjen Milatovic},
journal= {arXiv preprint arXiv:1405.0427},
year = {2014}
}
Comments
To appear in the conference proceedings for QMATH 12